4) çalculate [ 4XdA on disk R which is the region bounded by Y = X² y la recta X – Y + 2 = 0. A) 7 B) 19 с) 9 D) 13

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y² =25 and…

A:

Q: Evaluate the triple integral R. where R is the region enclosed by the sphere r2 + y² + 2? = 9.

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Evaluate the surface integral LL 6xzdS where S is the part of the plane 2x + 2y + z = 4 that lies in…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: sketch the region described by the followingspherical coordinates in three-dimensional space. 0 ≤ρ ≤…

A: Given: The region bounded by 0 ≤ρ ≤ 1, π/2 ≤ f ≤ π, 0 ≤ θ ≤ π.

Q: Find the volume of the solid bounded by the paraboloids z= 8+22 +2y and z 9-z-y

A:

Q: =9 and bounded above by Find the volume of the wedge-shaped region (Figure 1) contained in the…

A:

Q: Which of the following conditions do not have to be met to prove two solids have equal volumes using…

A: Given query is to find the condition which is not required to prove volume of solid are equal.

Q: What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2…

A: We sketch the given region using a graphing calculator as shown below:   The shaded region is…

Q: Use Stoke's theorem to evaluate the integral xydx +2x 'dy-&r 'zdz where C is the boundary of the…

A:

Q: 4. Find the volume V of the solid S that is bounded by the elliptic paraboloid defined by 2x2 + y2…

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Q: 21. Show that the volume V of a region D in space enclosed by the oriented surface S with outward…

A:

Q: Consider the area of the part of the plane z=ax+by+c that projects onto some region D in the…

A:

Q: 2. Use a parametrization to express the area of the given surface as a double integral and then…

A:

Q: 15- Evaluate the surface integral f, xy dswhere x is the part of the plaue y = 1-x-z that lies in…

A:

Q: Evaluate the surface integral. ∫∫sxdS, S is the part of the plane 6x+3y+z=6 that lies in the first…

A: The plane has intercepts at (1,0,0), (0,2,0), (0,0,6). The parameterize the surface S by. where

Q: Compute the volume of the solidbounded by the paraboloid z =x+y and the upper hemi sphere 6 -x² -…

A:

Q: Find the area of the plane xtay-zt 10=0 that lies above the disk xy-plare

A: Given that, Area of plane is x+2y-z+10=0 It lies above the disk {(x,y)/x2+y2≤4} in x,y plane. The…

Q: Find the volume of the solid bounded by the paraboloid z = 8- 2x - 2y and the plane z = 0

A:

Q: Evaluate where G is the solid in the first octant bounded by paraboloid : = + y, the cylinder r+ y 9…

A:

Q: Let S be the region bounded by Pi = 2, P2 = 3,81 = z,82 =.91 =5, and 2 = a in spherical coordinates.…

A: Consider the provided question, Let S be the bounded by ρ1=2, ρ2=3, θ1=π, θ2=3π2, ϕ1=π2 and ϕ2=π in…

Q: Use the Divergence Theorem to evaluate (4x + 9y + z2) ds where S is the sphere x2 + y2 + z? = 1.

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the volume under the paraboloid z = x2 + y2 above the triangle enclosed by the lines y = x, x =…

A:

Q: The volume of the solid bound by the two surfaces is z = 8- 3(x² +y?), z= (x² + y?)² - 2.

A:

Q: The region shown is bounded by x = 3, y = 0, and y = x. y 1 1 2 3 4 If the region is rotated about…

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Q: 1. SSR ry? dA, where R is the region in quadrants 1 and 2 bounded by the semicircle of radius 2…

A:

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder a? + y = 64 and…

A: Triple integral is used to integrate the function of three variable over the three dimensional…

Q: Find the volume of the wedge-shaped region (Figure 18) contained in the cylinder x2 + y2 = 9,…

A: To find the volume of the wedge shaped region on the figure contained in the cylinder x2+y2=9 and…

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder a² + y² = 9 and…

A: We will use the cylindrical coordinates to find the required volume.

Q: If E is the solid shape bounded by x 20,y 20,z 20 and the plane 6x + 4y + 3z = 12 evaluate %3D (y +…

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Q: Use geometry to evaluate ∫∫∫R 1 dV where R is the region inside the sphere x2+y2+z2=4.

A: Given R as the region inside the sphere

Q: Determine the volume of a four dimensional unit sphere: x, =r sin 8, sin 8, cos p, x, =r sin 0, sin…

A: The given problem is to find the volume of four dimensional unit sphere, we have to set up an…

Q: Find the volume of the solid bounded by the sphere x² + y² + =? = 6 and the paraboloid := x² +y² .…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Sketch the region in the z-plane repres ented by the following set of points: (i) Iz +il+ |z - il 3.…

A: .

Q: If the region that lies inside the cardioid r = 1+ cos 0 and outside the cirele r = 1 is the base of…

A:

Q: Find the centroid of the semicircular region in Figure 6.7.8.

A: A detailed solution is given below.

Q: Consider the area of the part of the plane z = ax + by+C that projects onto some region D in the…

A: If the area of the region D on xy-plane is k. That is, ∫∫DdA=k. If the area of the some region of…

Q: Find the volume of the Intersection curve C C Projection of C on ay-plane

A: Given: Given paraboloids are z=x2+y2 and z=8-x2-y2 We want to find the volume bounded by the…

Q: 2. Sketch the two dimensional planar region R = {(x, y) | 0 <x < 2, x² < y < 2x}.

A: Solution Given Seetch the two dimensional planar region R={(x,y)|0≤x≤2,x2≤y2x}

Q: 2. Use a parametrization to express the area of the given surface as a double integral and then…

A: Given ,x2+y2+z2 = 22       _________(I)and z = x2+y2     __________(II)Putting the value of z from…

Q: Use Stoke's Theorem to evaluate the line integral / 7ydx + 3zdy + dz where C is the intersection of…

A: Use Stoke's Theorem to evaluate the line integral ∫C7y dx+3z dy+ dz, where C is the intersection of…

Q: Find the volume bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

A:

Q: (1) Compute where Cis the couater dockwise oriented boundary of upper half unit disc D.

A: It is given that, ∮Cy2dx+3xydy here C is counter clockwise oriented upper half disc D.   Here,…

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder r? + y? 64 and…

A:

Q: The volume of the solid enclosed by the surface z = 1/y and the rectangle 2 <r<4, 1<y<e in the…

A: We use double integral to find the volume of the solid.

Q: use the Causs theorem to reduce the surface integral (JA.ds) on all six faces of a cube whose volume…

A:

Q: Find the volume of the solid bounded by the paraboloids z = x? + y? and z = 2 – x² – y?. %3D %3D -

A: Consider the solid S bounded by the paraboloids z=x2+y2 and z=2-x2-y2. Find the volume of S.

Q: sketch the region described by the following cylindricalcoordinates in three-dimensional space. 0 ……

A: The given region is  0≤r≤3-π2≤θ≤π20≤z≤rcosθ   Sketch this region in cylindrical coordinates as shown…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.